6. A,B and C can complete a piece o...
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6. A,B and C can complete a piece of work in 12, 24 and 36 days, respectively. In how many days will they together complete the same work? (1) 5 days (2) 4 days (3) 6-9 days (4) 6 days

11th - 12th Class
Maths
Solution
105
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(3) ( x=12 ) days, ( y=24 ) days and ( z=36 ) days Time taken by them to complete the work by [ begin{array}{l} text { working together }=frac{x y z}{x y+y z+z x} =frac{12 times 24 times 36}{12 times 24+24 times 36+36 times 12} =frac{12 times 24 times 36}{288+864+432} =frac{12 times 24 times 36}{1584}=6 frac{6}{11} text { days } end{array} ]
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